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The propagator of a spinless particle is calculated from the quantum mechanical path integral formalism in static curved spacetimes endowed with event-horizons. A toy model, the Gui spacetime, and the 2D and 4D Schwarzschild black holes are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 F. Vendrell

The thermal nature of the propagator in a collapsed black-hole spacetime is shown to follow from the non-trivial topology of the configuration space in tortoise coordinates by using the path integral formalism.

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Vendrell , M. E. Ortiz

This paper has been withdrawn by the authors. Quantum radiative characteristics of 4D semi-classical nonstationary black holes in the general case are investigated by using the method of generalized tortoise coordinate transformation. It is…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Jia-Chen Hua , Yong-Chang Huang

We investigate a thermally isolated quantum many-body system with an external control represented by a step protocol of a parameter. The propagator at each step of the parameter change is described by thermodynamic quantities under some…

Statistical Mechanics · Physics 2019-02-13 Shin-ichi Sasa , Sho Sugiura , Yuki Yokokura

Using the generalized tortoise coordinate transformations the quantum radiation properties of Klein-Gordon scalar particles, Maxwell's electromagnetic field equations and Dirac equations are investigated in general non-stationary black…

General Relativity and Quantum Cosmology · Physics 2017-02-27 T. Ibungochouba Singh

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly…

General Relativity and Quantum Cosmology · Physics 2016-11-28 L. F. Escamilla-Herrera , E. Mena-Barboza , J. Torres-Arenas

Quantum radiative characteristics of slowly varying nonstationary Kerr-Newman black holes are investigated by using the method of generalized tortoise coordinate transformation. It is shown that the temperature and the shape of the event…

General Relativity and Quantum Cosmology · Physics 2009-04-21 Jia-Chen Hua , Yong-Chang Huang

We investigate heat transport in various quantum spin chains, using the projector operator technique. We find that anomalous heat transport is linked not to the integrability of the Hamiltonian, but to whether it can be mapped to a model of…

Statistical Mechanics · Physics 2015-05-18 Jinshan Wu , Mona Berciu

A fundamentally different approach to path integral quantum mechanics in curved space-time is presented, as compared to the standard approaches currently available in the literature. Within the context of scalar particle propagation in a…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Dinesh Singh , Nader Mobed

Quantum radiation properties of Dirac particles in general nonstationary black holes in the general case is investigated by both using the method of generalized tortoise coordinate transformation and considering the asymptotic behaviors of…

General Relativity and Quantum Cosmology · Physics 2014-02-06 Jia-Chen Hua , Yong-Chang Huang

The essence of the path integral method in quantum physics can be expressed in terms of two relations between unitary propagators, describing perturbations of the underlying system. They inherit the causal structure of the theory and its…

Quantum Physics · Physics 2020-05-20 Detlev Buchholz , Klaus Fredenhagen

These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the reader has a good foundation in quantum…

Quantum Physics · Physics 2007-05-23 Richard MacKenzie

The phenomenon of black hole thermodynamics raises several deep issues which any proper theory of quantum gravity must confront: to what extent does the inclusion of the back-reaction alter the thermal character of the radiation, how can…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Per Kraus

The simple physics of a free particle reveals important features of the path-integral formulation of relativistic quantum theories. The exact quantum-mechanical propagator is calculated here for a particle described by the simple…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ian H. Redmount , Wai-Mo Suen

Representations of propagators by means of path integrals over velocities are discussed both in nonrelativistic and relativistic quantum mechanics. It is shown that all the propagators can only be expressed through bosonic path integrals…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Gitman , Sh. M. Shvartsman

We investigate the second-order nonlinear electronic thermal transport induced by temperature gradient. We develop the quantum kinetic theory framework to describe thermal transport in presence of a temperature gradient. Using this, we…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Harsh Varshney , Kamal Das , Pankaj Bhalla , Amit Agarwal

Thermal transport is less appreciated in probing quantum materials in comparison to electrical transport. This article aims to show the pivotal role that thermal transport may play in understanding quantum materials: the longitudinal…

Strongly Correlated Electrons · Physics 2020-05-13 Mingda Li , Gang Chen

The stochastic method based on the influence functional formalism introduced in an earlier paper to treat particle creation in near-uniformly accelerated detectors and collapsing masses is applied here to treat thermal and near-thermal…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Don Koks , B. L. Hu , Andrew Matacz , Alpan Raval

Nonthermal radiation of a Kerr black hole is considered as tunneling of created particles through an effective Dirac gap. In the leading semiclassical approximation this approach is applicable to bosons as well. Our semiclassical results…

General Relativity and Quantum Cosmology · Physics 2014-11-17 I. B. Khriplovich , R. V. Korkin

The thermal properties of a material with a spatio-temporal modulation in both the thermal conductivity and the mass density are studied. The special configuration studied here consists of a modulation in a wave-like fashion. It is found…

Materials Science · Physics 2018-03-28 Daniel Torrent , Olivier Poncelet , Jean-Chirstophe Batsale
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